Mo logo [home] [lexicon] [problems] [tests] [courses] [auxiliaries] [notes] [staff] german flag
Mathematics-Online course: Linear Algebra - Basic Structures - Vector Spaces

Subspace

[previous page] [next page] [table of contents][page overview]
A subset $ U$ of a $ K$-vector space $ V$ is called a vector subspace (or simply a subspace) of $ V$, if $ U$ itself, endowed with the addition and the scalar multiplication defined in $ V$, forms a vector space.

if $ u, v\in U$ and $ \lambda\in K$, then it immediatetly follows that $ u + v \in U $ and $ \lambda\cdot u \in U$.

(Authors: App/Burkhardt/Kimmerle)

(temporary unavailable)

(temporary unavailable)
  automatically generated 4/21/2005